Theorem dfom3 4739

Description: Alias for df-iom 4738. Use it instead of df-iom 4738 for naming consistency with set.mm. (Contributed by NM, 6-Aug-1994.)

Assertion

Ref	Expression
dfom3	|- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Distinct variable group:   x, y

Proof of Theorem dfom3

Step	Hyp	Ref	Expression
1		df-iom 4738	1 |- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

This proof depends on syntax axioms:   /\ wa 104   = wceq 1402   e. wcel 2209   {cab 2224   A.wral 2528   (/)c0 3520   |^|cint 3970   suc csuc 4510   omcom 4737

This proof depends on definitions:  df-iom 4738

This theorem is used by:  omex  4740  peano1  4741  peano2  4742  peano5  4745  bj-dfom  16959